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Optimization and Stability Problems in Continuum Mechanics pp 1–12Cite as

The method of Dubovitskii-Milyutin in mathematical programming

  • Part 1. Optimization Problems
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Part of the book series: Lecture Notes in Physics ((LNP,volume 21))

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References

  1. Dubovitskii,A.Ya, and Milyutin,A.A., Extremum Problems in the Presnece of Restrictions, U.S.S.R. Computational Mathematics and Mathematical Statistics, 5,1965,1–79.

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  2. Halkin,H., A Satisfactory Treatment of Equality and Operator Constraints in the Dubovitskii-Milyutin Optimization Formalism, Journal of Optimization Theory and Applications, 6,1970,138–149.

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  3. John,F., Extremum Problems with Inequalities as Subsidiary Conditions, in “Studies and Essays:Courant Anniversary Volume“:,(K.O.Friedricks,O.E.Neugebauer,and J.J.Stoker,(eds.)),pp.187–204,Interscience Publishers,New York,1948.

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  4. Abadie,J., On the Kuhn-Tucker Theorem, in “Nonlinear Programming”,J.Abadie(ed.), pp.19–36,North-Holland,1967.

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  5. Halkin,H., Optimal Control as Programming in Infinite Dimensional Spaces, in “C.I.M.E.:Calculus of Variations,Classical and Modem”,pp.179–192,Eidizioni Cremonese,Roma,1966.

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  6. Halkin,H. and Neustadt,L.W., Control as Programming in General Normed Linear Spaces, Lecture Notes in Operations Research and Mathematical Economics,Springer Verlag, 11,1969,23–40.

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Authors and Affiliations

  1. Department of Mathematics, University of California, San Diego La Jolla, California

    Hubert Halkin

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  1. Hubert Halkin
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P. K. C. Wang

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© 1973 Springer Verlag

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Halkin, H. (1973). The method of Dubovitskii-Milyutin in mathematical programming. In: Wang, P.K.C. (eds) Optimization and Stability Problems in Continuum Mechanics. Lecture Notes in Physics, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06214-9_1

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  • DOI: https://doi.org/10.1007/3-540-06214-9_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06214-1

  • Online ISBN: 978-3-540-38495-3

  • eBook Packages: Springer Book Archive

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